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135383232 = 2631096469
BaseRepresentation
bin10000001000111…
…00100011000000
3100102202011212210
420010130203000
5234124230412
621233422120
73232511205
oct1004344300
9312664783
10135383232
116a469476
123940a940
1322081b2a
1413da1cac
15bd4383c
hex811c8c0

135383232 has 56 divisors (see below), whose sum is σ = 361543600. Its totient is φ = 44706816.

The previous prime is 135383207. The next prime is 135383233. The reversal of 135383232 is 232383531.

135383232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135383232.

It is not an unprimeable number, because it can be changed into a prime (135383233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17694 + ... + 24162.

Almost surely, 2135383232 is an apocalyptic number.

135383232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180771800).

135383232 is an abundant number, since it is smaller than the sum of its proper divisors (226160368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135383232 is a wasteful number, since it uses less digits than its factorization.

135383232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6593 (or 6583 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 135383232 is about 11635.4300307294. The cubic root of 135383232 is about 513.4777457680.

The spelling of 135383232 in words is "one hundred thirty-five million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 6469 6976 10464 12938 19407 20928 25876 38814 51752 77628 103504 155256 207008 310512 414016 621024 705121 1242048 1410242 2115363 2820484 4230726 5640968 8461452 11281936 16922904 22563872 33845808 45127744 67691616 135383232